#include <bits/stdc++.h>
using namespace std;
const bool DEBUG = !true;
struct Town {
int winner = 0;
set<int> neighbours;
bool removed = false;
};
void printTowns(const vector<Town> &towns) {
if (!DEBUG) {
return;
}
for (size_t i = 1; i < towns.size(); ++i) { // assuming 1-based indexing
if (towns[i].removed) {
continue;
}
cout << "Town " << i << ":\n";
cout << " Winner: " << towns[i].winner << " removed: "
<< (towns[i].removed ? "removed" : "existing") << "\n";
cout << " Neighbours: ";
if (towns[i].neighbours.empty()) {
cout << "(none)";
} else {
cout << "{ ";
for (int n : towns[i].neighbours) {
cout << n << " ";
}
cout << "}";
}
cout << "\n\n";
cout.flush(); // flush after each town
}
cout.flush(); // final flush (optional but explicit)
}
void printVector(const vector<int> &v, const string &label = "") {
if (!DEBUG) {
return;
}
if (!label.empty()) {
cout << label << "\n";
}
cout << "[ ";
for (int x : v) {
cout << x << " ";
}
cout << "]";
cout << "\n";
cout.flush();
}
void printSet(const set<int> &s, const string &label = "") {
if (!DEBUG) {
return;
}
if (!label.empty()) {
cout << label << "\n";
}
cout << "{ ";
for (int x : s) {
cout << x << " ";
}
cout << "}";
cout << "\n";
cout.flush();
}
struct Finder {
const int k;
vector<Town> towns;
Finder(const vector<Town> &towns, int k) :
k(k), towns(towns) {
}
void process() {
set<int> notRemovedParts;
for (Town t : towns) {
notRemovedParts.insert(t.winner);
}
notRemovedParts.erase(0);
bool stopped = false;
do {
printSet(notRemovedParts, "notRemovedParts");
stopped = false;
for (int partToCheck : notRemovedParts) {
vector<int> subGraph = getConnectedComponent(partToCheck);
if (!subGraph.empty()) {
printVector(subGraph, "group ");
stopped = true;
extractComponent(subGraph);
printTowns(towns);
notRemovedParts.erase(partToCheck);
break;
}
}
} while (stopped);
if (notRemovedParts.empty()) {
cout << "TAK" << endl;
} else {
cout << "NIE" << endl;
}
}
void extractComponent(const vector<int> &comp) {
if (comp.empty())
// return {};
return;
set<int> compSet(comp.begin(), comp.end());
set<int> boundary; // all neighbors outside the component
// Collect all boundary nodes
for (int u : comp) {
if (towns[u].removed) {
continue;
}
for (int v : towns[u].neighbours) {
if (!compSet.count(v) && !towns[v].removed) {
boundary.insert(v);
}
}
}
// Connect all boundary nodes with each other
if (boundary.size() > 0) {
vector<int> boundaryVec(boundary.begin(), boundary.end());
// for (int i = 0; i < (int) boundaryVec.size(); ++i) {
// for (int j = i + 1; j < (int) boundaryVec.size(); ++j) {
// towns[boundaryVec[i]].neighbours.insert(boundaryVec[j]);
// towns[boundaryVec[j]].neighbours.insert(boundaryVec[i]);
// }
// }
set<int> p;
vector<int> hubs;
for (int b : boundaryVec) {
if (p.count(b) == 0) {
p.insert(b);
hubs.push_back(b);
}
}
for (int i = 0; i < (int) hubs.size(); ++i) {
for (int j = i + 1; j < (int) boundaryVec.size(); ++j) {
towns[hubs[i]].neighbours.insert(boundaryVec[j]);
towns[boundaryVec[j]].neighbours.insert(hubs[i]);
}
}
// for (int i = 1; i < (int) boundaryVec.size(); i++) {
// towns[hub].neighbours.insert(boundaryVec[i]);
// towns[boundaryVec[i]].neighbours.insert(hub);
// }
}
// Remove component nodes
for (int u : comp) {
if (towns[u].removed)
continue;
for (int v : towns[u].neighbours) {
towns[v].neighbours.erase(u);
}
towns[u].neighbours.clear();
towns[u].removed = true;
}
// return comp;
}
vector<int> getConnectedComponent(int value) {
vector<int> nodes;
// collect nodes with given winner
for (int i = 1; i < (int) towns.size(); ++i) {
if (towns[i].winner == value) {
nodes.push_back(i);
}
}
if (nodes.empty())
return {}; // no such nodes
// BFS
vector<bool> allowed(towns.size(), false);
for (int x : nodes) {
allowed[x] = true;
}
vector<bool> visited(towns.size(), false);
queue<int> q;
q.push(nodes[0]);
visited[nodes[0]] = true;
unsigned int count = 1;
while (!q.empty()) {
int u = q.front();
q.pop();
for (int v : towns[u].neighbours) {
if (allowed[v] && !visited[v]) {
visited[v] = true;
q.push(v);
count++;
}
}
}
// check connectivity
if (count != nodes.size()) {
return {}; // not connected
}
return nodes; // connected, return all indices
}
};
int main() {
// ifstream cin("tests/0a.in");
// ifstream cin("D:/cpp/_tests/3b-kam/1.in");
// ifstream cin("D:/cpp/_tests/3b-kam/93242_kam_tests/small/kam1.in");
cin.tie(NULL);
cout.tie(NULL);
ios_base::sync_with_stdio(false);
int t, u, v;
cin >> t;
for (int i = 0; i < t; i++) {
int n, m, k;
cin >> n;
cin >> m;
cin >> k;
vector<Town> towns(n + 1);
for (int j = 1; j <= n; j++) {
cin >> towns[j].winner;
}
for (int j = 0; j < m; j++) {
cin >> u;
cin >> v;
towns[u].neighbours.insert(v);
towns[v].neighbours.insert(u);
}
printTowns(towns);
Finder f(towns, k);
f.process();
}
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 | #include <bits/stdc++.h> using namespace std; const bool DEBUG = !true; struct Town { int winner = 0; set<int> neighbours; bool removed = false; }; void printTowns(const vector<Town> &towns) { if (!DEBUG) { return; } for (size_t i = 1; i < towns.size(); ++i) { // assuming 1-based indexing if (towns[i].removed) { continue; } cout << "Town " << i << ":\n"; cout << " Winner: " << towns[i].winner << " removed: " << (towns[i].removed ? "removed" : "existing") << "\n"; cout << " Neighbours: "; if (towns[i].neighbours.empty()) { cout << "(none)"; } else { cout << "{ "; for (int n : towns[i].neighbours) { cout << n << " "; } cout << "}"; } cout << "\n\n"; cout.flush(); // flush after each town } cout.flush(); // final flush (optional but explicit) } void printVector(const vector<int> &v, const string &label = "") { if (!DEBUG) { return; } if (!label.empty()) { cout << label << "\n"; } cout << "[ "; for (int x : v) { cout << x << " "; } cout << "]"; cout << "\n"; cout.flush(); } void printSet(const set<int> &s, const string &label = "") { if (!DEBUG) { return; } if (!label.empty()) { cout << label << "\n"; } cout << "{ "; for (int x : s) { cout << x << " "; } cout << "}"; cout << "\n"; cout.flush(); } struct Finder { const int k; vector<Town> towns; Finder(const vector<Town> &towns, int k) : k(k), towns(towns) { } void process() { set<int> notRemovedParts; for (Town t : towns) { notRemovedParts.insert(t.winner); } notRemovedParts.erase(0); bool stopped = false; do { printSet(notRemovedParts, "notRemovedParts"); stopped = false; for (int partToCheck : notRemovedParts) { vector<int> subGraph = getConnectedComponent(partToCheck); if (!subGraph.empty()) { printVector(subGraph, "group "); stopped = true; extractComponent(subGraph); printTowns(towns); notRemovedParts.erase(partToCheck); break; } } } while (stopped); if (notRemovedParts.empty()) { cout << "TAK" << endl; } else { cout << "NIE" << endl; } } void extractComponent(const vector<int> &comp) { if (comp.empty()) // return {}; return; set<int> compSet(comp.begin(), comp.end()); set<int> boundary; // all neighbors outside the component // Collect all boundary nodes for (int u : comp) { if (towns[u].removed) { continue; } for (int v : towns[u].neighbours) { if (!compSet.count(v) && !towns[v].removed) { boundary.insert(v); } } } // Connect all boundary nodes with each other if (boundary.size() > 0) { vector<int> boundaryVec(boundary.begin(), boundary.end()); // for (int i = 0; i < (int) boundaryVec.size(); ++i) { // for (int j = i + 1; j < (int) boundaryVec.size(); ++j) { // towns[boundaryVec[i]].neighbours.insert(boundaryVec[j]); // towns[boundaryVec[j]].neighbours.insert(boundaryVec[i]); // } // } set<int> p; vector<int> hubs; for (int b : boundaryVec) { if (p.count(b) == 0) { p.insert(b); hubs.push_back(b); } } for (int i = 0; i < (int) hubs.size(); ++i) { for (int j = i + 1; j < (int) boundaryVec.size(); ++j) { towns[hubs[i]].neighbours.insert(boundaryVec[j]); towns[boundaryVec[j]].neighbours.insert(hubs[i]); } } // for (int i = 1; i < (int) boundaryVec.size(); i++) { // towns[hub].neighbours.insert(boundaryVec[i]); // towns[boundaryVec[i]].neighbours.insert(hub); // } } // Remove component nodes for (int u : comp) { if (towns[u].removed) continue; for (int v : towns[u].neighbours) { towns[v].neighbours.erase(u); } towns[u].neighbours.clear(); towns[u].removed = true; } // return comp; } vector<int> getConnectedComponent(int value) { vector<int> nodes; // collect nodes with given winner for (int i = 1; i < (int) towns.size(); ++i) { if (towns[i].winner == value) { nodes.push_back(i); } } if (nodes.empty()) return {}; // no such nodes // BFS vector<bool> allowed(towns.size(), false); for (int x : nodes) { allowed[x] = true; } vector<bool> visited(towns.size(), false); queue<int> q; q.push(nodes[0]); visited[nodes[0]] = true; unsigned int count = 1; while (!q.empty()) { int u = q.front(); q.pop(); for (int v : towns[u].neighbours) { if (allowed[v] && !visited[v]) { visited[v] = true; q.push(v); count++; } } } // check connectivity if (count != nodes.size()) { return {}; // not connected } return nodes; // connected, return all indices } }; int main() { // ifstream cin("tests/0a.in"); // ifstream cin("D:/cpp/_tests/3b-kam/1.in"); // ifstream cin("D:/cpp/_tests/3b-kam/93242_kam_tests/small/kam1.in"); cin.tie(NULL); cout.tie(NULL); ios_base::sync_with_stdio(false); int t, u, v; cin >> t; for (int i = 0; i < t; i++) { int n, m, k; cin >> n; cin >> m; cin >> k; vector<Town> towns(n + 1); for (int j = 1; j <= n; j++) { cin >> towns[j].winner; } for (int j = 0; j < m; j++) { cin >> u; cin >> v; towns[u].neighbours.insert(v); towns[v].neighbours.insert(u); } printTowns(towns); Finder f(towns, k); f.process(); } } |
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